Evaluate Using Scientific Notation (7.810^-3)(410^-4)

$(7.8 \cdot 10^{- 3}) (4 \cdot 10^{- 4})$

Step 1

Multiply $7.8$ by $4$ .

$31.2 (10^{- 3} \cdot 10^{- 4})$

Step 2

Multiply $10^{- 3}$ by $10^{- 4}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$31.2 \cdot 10^{- 3 - 4}$

Subtract $4$ from $- 3$ .

$31.2 \cdot 10^{- 7}$

Step 3

Move the decimal point in $31.2$ to the left by $1$ place and increase the power of $10^{- 7}$ by $1$ .

$3.12 \cdot 10^{- 6}$

Evaluate Using Scientific Notation (7.8*10^-3)(4*10^-4)